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Simplifying (2x + -27) + (2x + 11) = 100 Reorder the terms: (-27 + 2x) + (2x + 11) = 100 Remove parenthesis around (-27 + 2x) -27 + 2x + (2x + 11) = 100 Reorder the terms: -27 + 2x + (11 + 2x) = 100 Remove parenthesis around (11 + 2x) -27 + 2x + 11 + 2x = 100 Reorder the terms: -27 + 11 + 2x + 2x = 100 Combine like terms: -27 + 11 = -16 -16 + 2x + 2x = 100 Combine like terms: 2x + 2x = 4x -16 + 4x = 100 Solving -16 + 4x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 100 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 100 + 16 4x = 100 + 16 Combine like terms: 100 + 16 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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